DOI
10.1007/s00028-014-0226-6
Abstract
Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in 2010, is extended in this paper to include singular lower order terms, while keeping low initial regularity. The results are applied to reaction-diffusion problems, including Maxwell-Stefan diffusion, and to geometric evolution equations like the surface-diffusion flow or the Willmore flow. The method presented here will be applicable to other parabolic systems, including free boundary problems.
Document Type
Post-print Article
Publication Date
9-2014
Publisher Statement
Copyright © Springer International Publishing.
DOI: 10.1007/s00028-014-0226-6
The definitive version is available at: http://link.springer.com/article/10.1007/s00028-014-0226-6
Full Citation: LeCrone, Jeremy, Jan Prüss, and Mathias Wilke. "On Quasilinear Parabolic Evolution Equations in Weighted Lp-Spaces II." Journal of Evolution Equations 14, no. 3 (September, 2014):509-533. doi:10.1007/s00028-014-0226-6.
Recommended Citation
LeCrone, Jeremy; Wilke, Mathias; and Prüss, Jan, "On Quasilinear Parabolic Evolution Equations in Weighted Lp-Spaces II" (2014). Department of Math & Statistics Faculty Publications. 160.
https://scholarship.richmond.edu/mathcs-faculty-publications/160
